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Finding the Fourth Proportional to 3,633.77, 5,452.86 and 1,442.66

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Solution

The fourth proportional to 3,633.77, 5,452.86 and 1,442.66 is: 2,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.77 : 5,452.86 = 1,442.66 : x
  2. Step 2: Convert to fraction form
    3,633.77/5,452.86 = 1,442.66/x
  3. Step 3: Cross multiply
    3,633.77x = 5,452.86 × 1,442.66
  4. Step 4: Simplify right side
    3,633.77x = 7,866,595.74
  5. Step 5: Solve for x
    x = 7,866,595.74/3,633.77
  6. Step 6: Final answer
    x = 2,164.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.